Question
Add $ \, \color{blue}{ 1+4b^4+3b } \, $ and $ \, \color{orangered}{ b^2-b^4+3 }$.
Answer
$$ \left( \color{blue}{1+4b^4+3b} \right) + \left( \color{orangered}{b^2-b^4+3} \right) = 3b^4+b^2+3b+4 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 4b^4+3b+1 \\ Q(x) &= -b^4+b^2+3 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 4b^4 & & 3b & 1 \\ \color{blue}{ + } & -b^4 & b^2 & & 3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 4b^4 & & 3b & 1 \\ \color{blue}{ + } & -b^4 & b^2 & & 3 \\ \hline & 3b^4 & b^2 & 3b & 4 \end{array} $$This page was created using
Polynomial Operations Calculator